Here is what I was told when I had DS: You dress a baby how you dress. So if I thought the room was a comfy temp, he went in like someone said a layette set. Going home, he went home in a shorts outfit as it is hot early sept in the south. My son was always swaddled tho when in the bassinet and in fact when he came from being registered with the hospital, he was wearing nothing but a long sleeve tee shirt, his diaper and a hat but he was swaddled.
My son since birth has his daddy's temperature (hot natured) so once he figured out how to take himself out of swaddling then he would unwrap himself.